20787916800 has 468 divisors, whose sum is σ = 80009491416. Its totient is φ = 4748083200.

The previous prime is 20787916783. The next prime is 20787916843. The reversal of 20787916800 is 861978702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20787916800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15052110 + ... + 15053490.

Almost surely, 2^20787916800 is an apocalyptic number.

20787916800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20787916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40004745708).

20787916800 is an abundant number, since it is smaller than the sum of its proper divisors (59221574616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20787916800 is a wasteful number, since it uses less digits than its factorization.

20787916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 20787916800 in words is "twenty billion, seven hundred eighty-seven million, nine hundred sixteen thousand, eight hundred".